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Finding the Third Proportional to 514,331 and 1,113,226

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Solution

The third proportional to 514,331 and 1,113,226 is: 2,409,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,331 : 1,113,226 = 1,113,226 : x
  2. Step 2: Convert to fraction form
    514,331/1,113,226 = 1,113,226/x
  3. Step 3: Cross multiply
    514,331x = 1,113,226 × 1,113,226
  4. Step 4: Simplify right side
    514,331x = 1,239,272,127,076
  5. Step 5: Solve for x
    x = 1,239,272,127,076/514,331
  6. Step 6: Final answer
    x = 2,409,483.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.